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Cod sursa(job #53014)
using namespace std;
#include<stdio.h>
FILE *fin=fopen("fractii.in","r"),
*fout=fopen("fractii.out","w");
int p[1000220];
long long sol[1000220];
int n;
long long rez;
void generate()
{
unsigned int i,j,k;
p[1]=0;
p[2]=0;
for (i=2; i<=n/2+1; i++)
{
k=i*i;
while (k<=n)
{
p[k]=1;
k+=i;
}
}
}
void solve()
{
unsigned int i,j,k;
for (i=1; i<=n; i++)
sol[i]=i;
for (i=2; i<=n/2; i++)
if (p[i]==0)
{
sol[i]=sol[i]*(i-1)/i;
k=i+i;
while (k<=n)
{
sol[k]=sol[k]*(i-1)/i;
k+=i;
}
}
for (i=n/2+1; i<=n; i++)
if (p[i]==0) sol[i]=sol[i]*(i-1)/i;
rez=0;
// fprintf(fout,"%d\n",sol[i]);
}
int main()
{
int i;
fscanf(fin,"%d",&n);
generate();
solve();
for (i=1; i<=n; i++) rez+=sol[i]; rez=2*rez-1;
fprintf(fout,"%lld\n",rez);
fclose(fin);
fclose(fout);
return 0;
}